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Finding the Fourth Proportional to 9,764.13, 13,473.91 and 5,987.31

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Solution

The fourth proportional to 9,764.13, 13,473.91 and 5,987.31 is: 8,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.13 : 13,473.91 = 5,987.31 : x
  2. Step 2: Convert to fraction form
    9,764.13/13,473.91 = 5,987.31/x
  3. Step 3: Cross multiply
    9,764.13x = 13,473.91 × 5,987.31
  4. Step 4: Simplify right side
    9,764.13x = 80,672,476.08
  5. Step 5: Solve for x
    x = 80,672,476.08/9,764.13
  6. Step 6: Final answer
    x = 8,262.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.